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211222120000 = 26545280553
BaseRepresentation
bin1100010010110111010…
…0011100011001000000
3202012012102200110002111
43010231310130121000
511430040330320000
6241011211025104
721155165253013
oct3045564343100
9665172613074
10211222120000
1181640420041
1234b29a3b194
1316bc2277178
14a31a69137a
15576378bcba
hex312dd1c640

211222120000 has 70 divisors (see below), whose sum is σ = 523762309598. Its totient is φ = 84488832000.

The previous prime is 211222119949. The next prime is 211222120003. The reversal of 211222120000 is 21222112.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 100103897664 + 111118222336 = 316392^2 + 333344^2 .

It is a super-2 number, since 2×2112221200002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2600277 + ... + 2680276.

Almost surely, 2211222120000 is an apocalyptic number.

211222120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222120000 is an abundant number, since it is smaller than the sum of its proper divisors (312540189598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211222120000 is an frugal number, since it uses more digits than its factorization.

211222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280585 (or 5280560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211222120000 its reverse (21222112), we get a palindrome (211243342112).

The spelling of 211222120000 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5280553 10561106 21122212 26402765 42244424 52805530 84488848 105611060 132013825 168977696 211222120 264027650 337955392 422444240 528055300 660069125 844888480 1056110600 1320138250 1689776960 2112221200 2640276500 3300345625 4224442400 5280553000 6600691250 8448884800 10561106000 13201382500 21122212000 26402765000 42244424000 52805530000 105611060000 211222120000